Details

sample76.0ms

Algorithm

intervals

Results

40.0ms

625×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	248	29
4	625	29
5	1579	29
6	3771	29
done	5000	29

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.7b	(* b (- (* c z) (* t i)))
6.0b	(* j (- (* c a) (* y i)))
6.1b	(* x (- (* y z) (* t a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

2.0ms	(- (* y z) (* t a))
9.0ms	(* b (- (* c z) (* t i)))
11.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* x (- (* y z) (* t a)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) (* t a))
71.0ms	(* b (- (* c z) (* t i)))
70.0ms	(* j (- (* c a) (* y i)))
65.0ms	(* x (- (* y z) (* t a)))

simplify609.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	166	1155
1	418	1141
2	1445	1007
done	5000	1007

prune469.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.1b

localize23.0ms

Local error

Found 4 expressions with local error:

4.0b	(* a (* j c))
4.7b	(* b (- (* c z) (* t i)))
5.2b	(* (- (* y i)) j)
6.1b	(* x (- (* y z) (* t a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* a (* j c))
9.0ms	(* b (- (* c z) (* t i)))
4.0ms	(* (- (* y i)) j)
10.0ms	(* x (- (* y z) (* t a)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* a (* j c))
68.0ms	(* b (- (* c z) (* t i)))
27.0ms	(* (- (* y i)) j)
69.0ms	(* x (- (* y z) (* t a)))

simplify647.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	174	1003
1	444	985
2	1640	855
done	5001	855

prune475.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.4b

localize22.0ms

Local error

Found 4 expressions with local error:

4.0b	(* a (* j c))
4.7b	(* b (- (* c z) (* t i)))
5.7b	(* i (* j y))
6.1b	(* x (- (* y z) (* t a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* a (* j c))
13.0ms	(* b (- (* c z) (* t i)))
5.0ms	(* i (* j y))
9.0ms	(* x (- (* y z) (* t a)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* a (* j c))
64.0ms	(* b (- (* c z) (* t i)))
29.0ms	(* i (* j y))
67.0ms	(* x (- (* y z) (* t a)))

simplify586.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	171	958
1	436	946
2	1505	806
done	5001	806

prune448.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.3b

localize22.0ms

Local error

Found 4 expressions with local error:

4.0b	(* a (* j c))
4.7b	(* b (- (* c z) (* t i)))
5.3b	(* (* i j) y)
6.1b	(* x (- (* y z) (* t a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* a (* j c))
9.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* (* i j) y)
9.0ms	(* x (- (* y z) (* t a)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* a (* j c))
66.0ms	(* b (- (* c z) (* t i)))
31.0ms	(* (* i j) y)
66.0ms	(* x (- (* y z) (* t a)))

simplify685.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	173	961
1	443	947
2	1613	807
done	5001	807

prune360.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.3b

regimes1.5s

Accuracy

35.9% (5.8b remaining)

Error of 9.2b against oracle of 3.4b and baseline of 12.5b

bsearch434.0ms

Steps

Iters	Range		Point
8	7.096922340696589e+133	8.405408684899034e+136	1.692487943641161e+134
9	2.994861830284551e+67	5.666511885509085e+75	3.7899864589352315e+67
7	-1.2597928215667442e-232	-4.235994805294352e-234	-4.379915427787178e-234
7	-3.611007390696603e-07	-8.638519114283913e-09	-2.563664364082223e-07

simplify19.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	205
1	108	205
2	128	205
3	129	205
done	129	205

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19022×

body

valid